-> C webassign.net/web/Student/Assignment-Responses/last?dep=26758376 Consider the two tanks shown in the figure below. Assume that tank A contains 50 gallons of water in which 25 pounds of salt is dissolved. Suppose tank & contains 50 gallons of pure water, Liquid is pumped into and out of the tanks as indicated in the figure; the mixture exchange and the liquid pumped out of tank B are assumed to be well stirred. We wish to construct a mathematical model that describes the number of pounds x, (t) and x, (t) of salt in tanks A and B, respectively, at time t. pure water mixture 3 gal/min I gal/in mixture mixture gal/min 3 gal/min This system is described by the system of equations dx 1 dt 50 dx 2 2 x de 75X1 25 2 with initial conditions x, (0) = 25, x,(0) = 0 (see (3) and the surrounding discussion on mixtures on page 107). What is the system of differential equations if, instead of pure water, a brine solution containing 3 pounds of salt per gallon is pumped into tank A? + 6 ax 2 2 at 25 2 Need Help? Read It 2. [0/3 Points] DETAILS PREVIOUS ANSWERS ZILLDIFFEQ9 3.3.008. MY NOTES ASK YOUR TEACHER Use the information given in the figure below to construct a mathematical model for the number of pounds of salt x, (t), x, (t), and x,(t) at time t in tanks A, B, and C, respectively. pure water mixture mixture 6 gal/min gal/min 1 gal/min C 100 gal 100 gal 100 gal mixture mixture mixture 1 gal/min 7 gal/min 5 gal/min C dx 2